3cu.

=20*Week 37*:

Monday 9-12 and 15-18 in room B119

Tuesday 9-1=
2 in room B321

Friday 9-12 and 15-18 in room CK111 and B321, respective=
ly.

*Week 38*:

Monday 9-12 and 15-18 in room B119

Tuesday 9-1=
2 in room B321

*Week 42*:

Monday 9-12 and 14-17 in room CK108 and CK107, res=
pectively.

*Only the material of the weeks 37 and 38 will appear on the exam.

*=
Last session will be devoted to *your* questions and reviewing the k=
ey concepts.

Elementary Calculus

=2012.09.2011: *1.Combinatorial Analysis;* Sections: 1, 2, 3, 4, 5.<=
/p>=20

12.09.2011: *2.Axioms of Probability;* Sections: 1, 2, 3, 4, 5, 6=
, 7.

13.09.2011: *3.Conditional Probability and Independence;* Section=
s: 1, 2, 3, 4, 5.

16.09.2011: *4.Random Variables;* Sections: 1, 2, 3, 4, 5.

16.09.2011: *4.Random Variables;* Sections: 6, 7, 8.1, 8.2, 8.3, =
9.

19.09.2011: *5.Continuous Random Variables;* Sections: 1, 2, 3, 4=
.

19.09.2011: *5.Continuous Random Variables;* Sections: 5, 6.1, 6.=
2, 6.3, 6.4, 7.

20.09.2011: *6.Jointly Distributed Random Variables;* Sections: 1=
, 2, 4, 5.

17.10.2011: *8.Limit Theorems;* Sections: 1, 2, 3, 4. *10.Simu=
lation;* Sections: 1, 2.1, 2.2, 3.

17.10.2011: *9.Additional Topics in Probability;* Section: 2.

Chapter 3: Examples 4f and 5f.

Chapter 4: 4.6.1.

Chapter 5: 5.4.=
1, 5.5.1.

Chapter 6: Examples 1f, 3e, 3f, 5c, and 5d.

*There will be one bonus question contributing to one point of the exam =
relating to these parts.

*Studying these parts will help you in doing t=
he exercises.

Chapter 1: 21, 22, 23, 27, 2T, 5T, 8T, 9T, 13T.

Chapter 2: 15, 28, =
56, 11T, 16T, 20T.

Chapter 3: 21, 35, 52, 59, 66, 69, 73, 15T, 22T, 30T=
.

Chapter 4: 26, 30, 31, 38, 43, 57, 80c, 4T, 8T, 9T, 10T, 13T, 19T, 27=
T, 28T.

Chapter 5: 3, 7, 10, 13, 18, 19, 21, 25, 26, 28, ,30, 31, 36, 3=
8, 1T, 2T, 7T, 10T, 12T, 13T, 25T, 28T, 26T, 15T, 16T.

Chapter 6: 2, 8,=
9, 13, 23, 24, 41, 39, 43, 51, 54, 12T, 14T, 20T, 19T.

chap-1.pdf

chap-2.pdf

chap=
-3.pdf

chap-4.pdf

chap-5.pdf

chap-6.pdf

*The 'T' indicates the Theoretical whereas the other numbers without suf=
fixes are Problems.

*Solutions to the exercises should be handed in no =
later than 17.10.2011; 9:15 AM.

*Solutions to these exercises will be p=
osted online after the due date of delivery.

*One can obtain one bonus =
point by solving at least 80 percent of the exercises i.e. 64 out of total =
of 80.

*Each group can hand in one set of solutions but students are st=
rongly recommended to do all the exercises by themselves.

*There is no =
more than 10 percent exercises related to the self study parts i.e. 8 out o=
f total of 80.

Data: 24.10.2011.

Time: 10:00-13:00.

Place: Exactum, B120.

*The exam will contain six questions of which one bonus question is rela=
ted to the self study parts.

*Each question is worth a point.

*You =
will *not* need a particular table or formula as they will be presen=
ted in the question if needed.

*There would be two separate exams on 17=
.11.2011 & 6.3.2012. If interested to take any of those , send me an em=
ail two weeks to the desirable date and also register for it in the Student=
Affair Office C329, two weeks prior to the exam.

*Your previous solut=
ions to the exercises (if you handled in any) will not count toward your fi=
nal grade if you take separate exam.

Sheldon Ross, A First Course in Probability, Pearson, 2006.

=20NOTE. This course is for international Master=C2=B4s degree program stud= ents. The course does not correspond or compensate the compulsory course "J= ohdatus todenn=C3=A4k=C3=B6isyyslaskentaan" in the degree requirements of m= athematics and statistics.

=20Did you forget to register? What to do.